Why are they useful in making recommendations to the decision maker? Give a real world example

You can use a calculator to do numerical calculations. No graphing calculator is allowed. Please DO NOT USE ANY COMPUTER SOFTWARE to solve the problems.

1. (a) What is an assignment problem? Briefly discuss the decision variables, the objective function and constraint requirements in an assignment problem. Give a real world example of the assignment problem.

(b) What is a diet problem? Briefly discuss the objective function and constraint requirements in a diet problem. Give a real world example of a diet problem.

(c) What are the differences between QM for Windows and Excel when solving a linear programming problem? Which one you like better? Why?

(d) What are the dual prices? In what range are they valid? Why are they useful in making recommendations to the decision maker? Give a real world example

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